Replace the polar equation with an equivalent Cartesian equation.r2 = 30r cos ? - 6r sin ? - 9

A. (x - 15)2  + (y + 3)2 = 225
B. (x - 15)2  + (y + 3)2 = 9
C. 30x - 6y = 9
D. (x + 30)2  + (y - 6)2 = 9


Answer: A

Mathematics

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Simplify the rational expression.

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Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.)2.6x -  0.7y + 5.3z - 3.4w = 2.96.5y + 0.7w = -1.84.0z - 2.2w = 1.54.9x + 0.6w = 3.2

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The function is one-to-one on the domain . Find  . ?

A.
B.
C.
D.
E.

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The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.What is the magnitude of an earthquake whose seismographic reading is 7.7 millimeters at a distance of 100 kilometers from its epicenter? Round the answer to the nearest tenth.

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Mathematics